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23129340 = 22351322281
BaseRepresentation
bin101100000111…
…0110011111100
31121112002111020
41120032303330
521410114330
62143424140
7400411323
oct130166374
947462436
1023129340
1112068463
1278b5050
134a3a900
1431010ba
15206d210
hex160ecfc

23129340 has 72 divisors (see below), whose sum is σ = 70157808. Its totient is φ = 5690880.

The previous prime is 23129339. The next prime is 23129341. The reversal of 23129340 is 4392132.

It is an interprime number because it is at equal distance from previous prime (23129339) and next prime (23129341).

It is a self number, because there is not a number n which added to its sum of digits gives 23129340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23129341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9000 + ... + 11280.

It is an arithmetic number, because the mean of its divisors is an integer number (974414).

Almost surely, 223129340 is an apocalyptic number.

23129340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23129340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35078904).

23129340 is an abundant number, since it is smaller than the sum of its proper divisors (47028468).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23129340 is a wasteful number, since it uses less digits than its factorization.

23129340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2319 (or 2304 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 23129340 is about 4809.2972459602. The cubic root of 23129340 is about 284.9187826438.

The spelling of 23129340 in words is "twenty-three million, one hundred twenty-nine thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 169 195 260 338 390 507 676 780 845 1014 1690 2028 2281 2535 3380 4562 5070 6843 9124 10140 11405 13686 22810 27372 29653 34215 45620 59306 68430 88959 118612 136860 148265 177918 296530 355836 385489 444795 593060 770978 889590 1156467 1541956 1779180 1927445 2312934 3854890 4625868 5782335 7709780 11564670 23129340